Moore-Penrose Inverse of a Gram Matrix and Its Nonnegativity

T. Kurmayya () and K. C. Sivakumar
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T. Kurmayya: Indian Institute of Technology Madras
K. C. Sivakumar: Indian Institute of Technology Madras

Journal of Optimization Theory and Applications, 2008, vol. 139, issue 1, No 12, 207 pages

Abstract: Abstract Let M=[A a] be a matrix of order m×n, where A∈ℝ m×(n−1) and a∈ℝ m is an m×1 vector. In this article, we derive a formula for the Moore-Penrose inverse of M * M and obtain sufficient conditions for its nonnegativity. The results presented here generalize the ones known earlier.

Keywords: Moore-Penrose inverse; Gram matrix (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1007/s10957-008-9426-y

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